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A Merton-Like Approach to Pricing Debt based on a non-Gaussian Asset Model

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  • Lisa Borland
  • Jeremy Evnine
  • Benoit Pochart

Abstract

This paper is a contribution to the Proceedings of the Workshop Complexity, Metastability and Nonextensivity held in Erice 20-26 July 2004, to be published by World Scientific. We propose a generalization to Merton's model for evaluating credit spreads. In his original work, a company's assets were assumed to follow a log-normal process. We introduce fat tails and skew into this model, along the same lines as in the option pricing model of Borland and Bouchaud (2004, Quantitative Finance 4) and illustrate the effects of each component. Preliminary empirical results indicate that this model fits well to empirically observed credit spreads with a parameterization that also matched observed stock return distributions and option prices.

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  • Lisa Borland & Jeremy Evnine & Benoit Pochart, 2005. "A Merton-Like Approach to Pricing Debt based on a non-Gaussian Asset Model," Papers cond-mat/0501395, arXiv.org.
    • Handle: RePEc:arx:papers:cond-mat/0501395
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    Cited by:

    1. Gottschalk, Sylvia, 2017. "Entropy measure of credit risk in highly correlated markets," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 478(C), pages 11-19.

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